Mathematical Approaches to the Study of Human Information Processing

Abstract

Introduction. We consider the Golden Ratio principle and the Fibonacci sequence in terms of its possible use in the production and perception of information. The correspondence between the Fibonacci sequence and the principle of symmetry is most clearly shown when numbers are replaced with concepts and judgments.

Methodology and sources. Language is an integral part not only of consciousness, but also of reality, and therefore it is quite natural to assume that its formation and development took place in accordance with the objective laws of nature that ensure the effectiveness of the interaction of structural and systemic formations as part of the whole. Such an approach makes it possible to find answers to questions that have not been solved within the narrow linguistic framework of the study, and also contributes to the fact that language structures designed to describe the state of affairs in reality provide a methodological basis for cognition at the disposal of a person.

Results and discussion. The simplest language phrases built on the models of «what is what», «what is which», «what/who does what», already contain all the essential elements of thought: 1) the separation of two objects; 2) comparing them with each other (in consciousness), and 3) inference (stating their separateness and differences from each other). Thus, symmetry and asymmetry are the essence of the process of obtaining new knowledge in any field of research. Each new judgment in the chain constructed in accordance with the Fibonacci sequence includes the two previous ones, but in a new quality – based on their synthesis. At the same time, all copies of the original and received structures remain in memory.

Conclusion. The search for laws implies not only generalization of ideas, but also finding the simplest schemes according to which material objects are created and processes occurring in the natural environment are implemented. In accordance with the processes regulating the stability and variability of systems in the natural environment, the activity of consciousness is also carried out, aimed at obtaining knowledge and their formation on the basis of symmetry and asymmetry. Symmetry contributes to the preservation and assimilation of the original data, asymmetry allows you to extract new information based on them. The information coming from outside is transformed into linguistic structures – the only way possible for a person to reflect the results of logical and sensory analysis.